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Finding the Fourth Proportional to 32,017.64, 44,182.92 and 17,870.16

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Solution

The fourth proportional to 32,017.64, 44,182.92 and 17,870.16 is: 24,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017.64 : 44,182.92 = 17,870.16 : x
  2. Step 2: Convert to fraction form
    32,017.64/44,182.92 = 17,870.16/x
  3. Step 3: Cross multiply
    32,017.64x = 44,182.92 × 17,870.16
  4. Step 4: Simplify right side
    32,017.64x = 789,555,849.67
  5. Step 5: Solve for x
    x = 789,555,849.67/32,017.64
  6. Step 6: Final answer
    x = 24,660.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.